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Simplifying -3[x + 6] = 2[x + -4] Reorder the terms: -3[6 + x] = 2[x + -4] [6 * -3 + x * -3] = 2[x + -4] [-18 + -3x] = 2[x + -4] Reorder the terms: -18 + -3x = 2[-4 + x] -18 + -3x = [-4 * 2 + x * 2] -18 + -3x = [-8 + 2x] Solving -18 + -3x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + -3x + -2x = -8 + 2x + -2x Combine like terms: -3x + -2x = -5x -18 + -5x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + -5x = -8 + 0 -18 + -5x = -8 Add '18' to each side of the equation. -18 + 18 + -5x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = -8 + 18 -5x = -8 + 18 Combine like terms: -8 + 18 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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